In an equilateral triangle, the altitude splits the triangle into two 30-60-90 right triangles. For a side of length $s = 6$, the altitude $h$ is given by:

Fri, 01 May 2026 19:11:36 +0000

**In an equilateral triangle, the altitude splits the triangle into two 30-60-90 right triangles. For a side of length $s = 6$, the altitude $h$ is given by:** This geometric concept, rooted in fundamental triangle properties, reveals a precise relationship between side length and internal angles. When an equilateral triangle is drawn with all sides equal and all angles measuring 60 degrees, drawing an altitude from one vertex to the midpoint of the opposite side creates two identical 30-60-90 right triangles. Understanding this pattern helps explain proportional relationships in geometry and design. --- ### Why In an equilateral triangle, the altitude splits the triangle into two 30-60-90 right triangles. For a side of length $s = 6$, the altitude $h$ is given by: